Abonnement à la biblothèque: Guest

THEORETICAL AND NUMERICAL ANALYSES ON THE ONSET AND GROWTH OF CONVECTIVE INSTABILITIES IN A HORIZONTAL ANISOTROPIC POROUS MEDIUM

Volume 17, Numéro 12, 2014, pp. 1061-1074
DOI: 10.1615/JPorMedia.v17.i12.40
Get accessGet access

RÉSUMÉ

A theoretical analysis of buoyancy-driven instability under transient basic fields is conducted in an initially quiescent, brine-saturated, horizontal, anisotropic porous layer. Through the upper boundary of the layer, CO2 dissolution is dissolved into the brine and the CO2-saturated brine induces the buoyancy-driven motion. Darcy's law is used to describe this motion, and linear stability theory is employed. The onset ofconvection is analyzed by employing the exact eigenanalysis, the quasi-steady-state approximation (QSSA), and the initial value problem approach (IVPA). The condition of the onset of buoyancy-driven instability is obtained as a function of the Darcy-Rayleigh number and the anisotropy ratio of permeability which is independent of the solution methods. To find out the anisotropy effect on the motion after the onset ofconvection, nonlinear numerical simulations also are conducted using the result ofthe linear analysis as a starting point. Nonlinear numerical simulations show that the fingerlike instability motion is not readily observable at τc and it becomes visible around τmin. Here τc is the critical time of the onset of convection and τmin is the time after the onset of convection at which the total flux reaches the first local minimum.

CITÉ PAR
  1. Yadav Dhananjay, Nam Donglim, Lee Jinho, The onset of transient Soret-driven MHD convection confined within a Hele-Shaw cell with nanoparticles suspension, Journal of the Taiwan Institute of Chemical Engineers, 58, 2016. Crossref

  2. Yadav Dhananjay, Kim Min Chan, Linear and non-linear analyses of Soret-driven buoyancy convection in a vertically orientated Hele-Shaw cell with nanoparticles suspension, Computers & Fluids, 117, 2015. Crossref

  3. Harfash Akil J., Nonhomogeneous Porosity and Thermal Diffusivity Effects on a Double-Diffusive Convection in Anisotropic Porous Media, International Journal of Nonlinear Sciences and Numerical Simulation, 17, 5, 2016. Crossref

  4. Nield Donald A., Bejan Adrian, Geophysical Aspects, in Convection in Porous Media, 2017. Crossref

  5. Sabet Nasser, Hassanzadeh Hassan, Abedi Jalal, A new insight into the stability of variable viscosity diffusive boundary layers in porous media under gravity field, AIChE Journal, 64, 3, 2018. Crossref

  6. Shafabakhsh Paiman, Fahs Marwan, Ataie-Ashtiani Behzad, Simmons Craig T., Unstable Density-Driven Flow in Fractured Porous Media: The Fractured Elder Problem, Fluids, 4, 3, 2019. Crossref

  7. Yadav Dhananjay, Numerical investigation of the combined impact of variable gravity field and throughflow on the onset of convective motion in a porous medium layer, International Communications in Heat and Mass Transfer, 108, 2019. Crossref

  8. Storesletten Leiv, Rees D. Andrew S., Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation, Fluids, 4, 2, 2019. Crossref

  9. Yadav Dhananjay, Numerical solution of the onset of Buoyancy‐driven nanofluid convective motion in an anisotropic porous medium layer with variable gravity and internal heating, Heat Transfer, 49, 3, 2020. Crossref

  10. Yadav Dhananjay, Effects of rotation and varying gravity on the onset of convection in a porous medium layer: a numerical study, World Journal of Engineering, 17, 6, 2020. Crossref

  11. Kiran S., Gangadharaiah Y.H., Nagarathnamma H., Effects of linear and nonlinear gravity variance on penetrative nanofluid convective motion in an anisotropic porous matrix, Materials Today: Proceedings, 54, 2022. Crossref

  12. Kumar S., Prakash D., Sivakumar Narsu, Kumar B. Rushi, Dispersion of Rayleigh Wave in a Shielded Anisotropic Generalized Thermoelastic Layer, in Recent Advances in Applied Mathematics and Applications to the Dynamics of Fluid Flows, 2023. Crossref

Prochains articles

Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections Prix et politiques d'abonnement Begell House Contactez-nous Language English 中文 Русский Português German French Spain